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Finding the Third Proportional to 642,082 and 953,880

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Solution

The third proportional to 642,082 and 953,880 is: 1,417,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,082 : 953,880 = 953,880 : x
  2. Step 2: Convert to fraction form
    642,082/953,880 = 953,880/x
  3. Step 3: Cross multiply
    642,082x = 953,880 × 953,880
  4. Step 4: Simplify right side
    642,082x = 909,887,054,400
  5. Step 5: Solve for x
    x = 909,887,054,400/642,082
  6. Step 6: Final answer
    x = 1,417,088.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.